This is a Turing Machine which computes the exponential function f(x,y) = xˆy. Instructions format and operation of this machine are intended to best reflect the basic conditions outlined by Alan Turing in his On Computable Numbers, with an Application to the Entscheidungsproblem (1936), using the simplest single-tape and single-symbol version, in essence due to Kleene (1952) and Carnielli & Epstein (2008). This machine is composed by four basic task machines: one which checks if exponent y is zero, a second (...) which checks if base x is zero, a third that is able to copy the base, and a fourth able to multiply multiple factors (in this case, factors will be all equal). They were conveniently separated in order to ease the reader's task to understand each step of its operation. We adopt the convention that a number n is represented by a string of n+1 symbols "1". Thus, an entry (x, y) will be represented by two respective strings of x+1 and y+1 symbols "1", separated by a single "0" (or a blank), and as an output, this machine will generate a string of (xˆy)+1 symbols "1". Some of the instructions are followed by a brief description of what's going on. (shrink)

The JTB definition of knowledge has been shown by Gettier to be incomplete: its three conditions are necessary for knowledge, but not sufficient. We argue that the JTB definition can be completed with a very simple fourth condition, namely that the justification for the belief in p must be sufficient to exclude ¬p. It is shown that the resulting JTB+S definition solves the Gettier problem.

In the past twenty years, scholarly interest in John Dewey's later writings has surged. While later works such as Art as Experience (1934), Logic: The Theory of Inquiry (1938), and Freedom and Culture (1939) have received considerable attention, Knowing and the Known (1949), Dewey's late-in-life collaboration with Arthur F. Bentley, has been largely neglected. A common bias among Dewey scholars is that this work, instead of developing Dewey's Logic, departs from its spirit, reflects the overbearing influence of Bentley on Dewey (...) (who was at the time an octogenarian), and, therefore, merits little serious scholarly consideration. However, Dewey and Bentley engaged in an extended correspondence, collected in John Dewey and Arthur Bentley: A Philosophical Correspondence, 1932-1951 (1964), the result of which was no less than a watershed moment in Dewey's thinking on the experimental method of inquiry. The Logic was improved in ways that incorporated the insights of Charles Sanders Peirce's logic and developed Dewey's earlier work in a direction expressly intended by the aging pragmatist. Indeed, Dewey writes in correspondence with his co-author: "You [Bentley] shouldn't lean too heavily on the [1938] Logic; it wasn't a bad job at the time, but I could do better now [with Knowing and the Known]; largely through association with you and getting the courage to see my thing [logical theory] through without compromise" (Correspondence, 4:595, see also 184, 420, 481, 483-84). One of the few scholars of American pragmatism to acknowledge that Knowing and the Known was a watershed development in Dewey's thinking is Frank X. Ryan, author of an exciting new book, Seeing Together: Mind, Matter, and the Experimental Outlook of John Dewey and Arthur F. Bentley, that clearly and concisely presents the revolutionary method developed in Knowing and Known: the transactional approach. (shrink)

Let f(1)=2, f(2)=4, and let f(n+1)=f(n)! for every integer n≥2. Edmund Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. Landau's conjecture implies the following unproven statement Φ: card(P(n^2+1))<ω ⇒ P(n^2+1)⊆[2,f(7)]. Let B denote the system of equations: {x_j!=x_k: i,k∈{1,...,9}}∪{x_i⋅x_j=x_k: i,j,k∈{1,...,9}}. The system of equations {x_1!=x_1, x_1 \cdot x_1=x_2, x_2!=x_3, x_3!=x_4, x_4!=x_5, x_5!=x_6, x_6!=x_7, x_7!=x_8, x_8!=x_9} has exactly two solutions in positive integers x_1,...,x_9, namely (1,...,1) and (f(1),...,f(9)). No known system S⊆B with a finite (...) number of solutions in positive integers x_1,...,x_9 has a solution (x_1,...,x_9)∈(N\{0})^9 satisfying max(x_1,...,x_9)>f(9). For every known system S⊆B, if the finiteness/infiniteness of the set {(x_1,...,x_9)∈(N\{0})^9: (x_1,...,x_9) solves S} is unknown, then the statement ∃ x_1,...,x_9∈N\{0} ((x_1,...,x_9) solves S)∧(max(x_1,...,x_9)>f(9)) remains unproven. Let Λ denote the statement: if the system of equations {x_2!=x_3, x_3!=x_4, x_5!=x_6, x_8!=x_9, x_1 \cdot x_1=x_2, x_3 \cdot x_5=x_6, x_4 \cdot x_8=x_9, x_5 \cdot x_7=x_8} has at most finitely many solutions in positive integers x_1,...,x_9, then each such solution (x_1,...,x_9) satisfies x_1,...,x_9≤f(9). The statement Λ is equivalent to the statement Φ. It heuristically justifies the statement Φ . This justification does not yield the finiteness/infiniteness of P(n^2+1). We present a new heuristic argument for the infiniteness of P(n^2+1), which is not based on the statement Φ. Algorithms always terminate. We explain the distinction between existing algorithms (i.e. algorithms whose existence is provable in ZFC) and known algorithms (i.e. algorithms whose definition is constructive and currently known). Assuming that the infiniteness of a set X⊆N is false or unproven, we define which elements of X are classified as known. No known set X⊆N satisfies Conditions (1)-(4) and is widely known in number theory or naturally defined, where this term has only informal meaning. *** (1) A known algorithm with no input returns an integer n satisfying card(X)<ω ⇒ X⊆(-∞,n]. (2) A known algorithm for every k∈N decides whether or not k∈X. (3) No known algorithm with no input returns the logical value of the statement card(X)=ω. (4) There are many elements of X and it is conjectured, though so far unproven, that X is infinite. (5) X is naturally defined. The infiniteness of X is false or unproven. X has the simplest definition among known sets Y⊆N with the same set of known elements. *** Conditions (2)-(5) hold for X=P(n^2+1). The statement Φ implies Condition (1) for X=P(n^2+1). The set X={n∈N: the interval [-1,n] contains more than 29.5+\frac{11!}{3n+1}⋅sin(n) primes of the form k!+1} satisfies Conditions (1)-(5) except the requirement that X is naturally defined. 501893∈X. Condition (1) holds with n=501893. card(X∩[0,501893])=159827. X∩[501894,∞)= {n∈N: the interval [-1,n] contains at least 30 primes of the form k!+1}. We present a table that shows satisfiable conjunctions of the form #(Condition 1) ∧ (Condition 2) ∧ #(Condition 3) ∧ (Condition 4) ∧ #(Condition 5), where # denotes the negation ¬ or the absence of any symbol. No set X⊆N will satisfy Conditions (1)-(4) forever, if for every algorithm with no input, at some future day, a computer will be able to execute this algorithm in 1 second or less. The physical limits of computation disprove this assumption. (shrink)

This tenth volume of Collected Papers includes 86 papers in English and Spanish languages comprising 972 pages, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered) from 26 countries: Abu Sufian, Ali Hassan, Ali Safaa Sadiq, Anirudha Ghosh, Assia Bakali, Atiqe Ur Rahman, Laura Bogdan, Willem K.M. Brauers, Erick González Caballero, Fausto Cavallaro, Gavrilă Calefariu, T. Chalapathi, Victor Christianto, Mihaela Colhon, Sergiu Boris Cononovici, Mamoni Dhar, Irfan Deli, Rebeca Escobar-Jara, Alexandru Gal, N. (...) Gandotra, Sudipta Gayen, Vassilis C. Gerogiannis, Noel Batista Hernández, Hongnian Yu, Hongbo Wang, Mihaiela Iliescu, F. Nirmala Irudayam, Sripati Jha, Darjan Karabašević, T. Katican, Bakhtawar Ali Khan, Hina Khan, Volodymyr Krasnoholovets, R. Kiran Kumar, Manoranjan Kumar Singh, Ranjan Kumar, M. Lathamaheswari, Yasar Mahmood, Nivetha Martin, Adrian Mărgean, Octavian Melinte, Mingcong Deng, Marcel Migdalovici, Monika Moga, Sana Moin, Mohamed Abdel-Basset, Mohamed Elhoseny, Rehab Mohamed, Mohamed Talea, Kalyan Mondal, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Ihsan, Muhammad Naveed Jafar, Muhammad Rayees Ahmad, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Mujahid Abbas, Mumtaz Ali, Radu I. Munteanu, Ghulam Murtaza, Munazza Naz, Tahsin Oner, ‪Gabrijela Popović‬‬‬‬‬, Surapati Pramanik, R. Priya, S.P. Priyadharshini, Midha Qayyum, Quang-Thinh Bui, Shazia Rana, Akbara Rezaei, Jesús Estupiñán Ricardo, Rıdvan Sahin, Saeeda Mirvakili, Said Broumi, A. A. Salama, Flavius Aurelian Sârbu, Ganeshsree Selvachandran, Javid Shabbir, Shio Gai Quek, Son Hoang Le, Florentin Smarandache, Dragiša Stanujkić, S. Sudha, Taha Yasin Ozturk, Zaigham Tahir, The Houw Iong, Ayse Topal, Alptekin Ulutaș, Maikel Yelandi Leyva Vázquez, Rizha Vitania, Luige Vlădăreanu, Victor Vlădăreanu, Ștefan Vlăduțescu, J. Vimala, Dan Valeriu Voinea, Adem Yolcu, Yongfei Feng, Abd El-Nasser H. Zaied, Edmundas Kazimieras Zavadskas.‬‬. (shrink)

Arguments are given against the thesis that properties and propositional functions are identical. The first shows that the familiar extensional treatment of propositional functions -- that, for all x, if f(x) = g(x), then f = g -- must be abandoned. Second, given the usual assumptions of propositional-function semantics, various propositional functions (e.g., constant functions) are shown not to be properties. Third, novel examples are given to show that, if properties were identified with propositional functions, crucial fine-grained intensional distinctions would (...) be lost. (shrink)

Mark Johnston (2016, 2017) has raised concerns that a worm-theoretic account of persistence through time is incompatible with ethical singularity: that within the life of any actual person, there is only one morally considerable being, namely that person. To deny ethical singularity is to deny a core feature of our ordinary ethical and prudential thinking. The worm theory, Johnston concludes, proves to be “disastrous … for our ordinary moral outlook”. This paper defends the worm theory from Johnston’s argument. Though I (...) agree that the worm theory must deny ethical singularity, it can nevertheless be squared with our ordinary ethical thinking by adopting a temporal counterpart analysis of temporal predication (‘x will be F’, ‘x was previously F’, etc.) for those morally considerable beings involved in a person’s life that are not the person. (shrink)

Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical theory of categories, (...) dating from the mid-twentieth century, includes a theory of always-self-predicative universals--which can be seen as forming the "other bookend" to the never-self-predicative universals of set theory. The self-predicative universals of category theory show that the problem in the antinomies was not self-predication per se, but negated self-predication. They also provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. (shrink)

There exists a huge number of numerical methods that iteratively construct approximations to the solution y(x) of an ordinary differential equation (ODE) y′(x) = f(x,y) starting from an initial value y_0=y(x_0) and using a finite approximation step h that influences the accuracy of the obtained approximation. In this paper, a new framework for solving ODEs is presented for a new kind of a computer – the Infinity Computer (it has been patented and its working prototype exists). The new computer is (...) able to work numerically with finite, infinite, and infinitesimal numbers giving so the possibility to use different infinitesimals numerically and, in particular, to take advantage of infinitesimal values of h. To show the potential of the new framework a number of results is established. It is proved that the Infinity Computer is able to calculate derivatives of the solution y(x) and to reconstruct its Taylor expansion of a desired order numerically without finding the respective derivatives analytically (or symbolically) by the successive derivation of the ODE as it is usually done when the Taylor method is applied. Methods using approximations of derivatives obtained thanks to infinitesimals are discussed and a technique for an automatic control of rounding errors is introduced. Numerical examples are given. (shrink)

x and y are at least weakly indiscernible if they are distinct with respect to two predicates F and G (FxGy or FyGx and not both) but for all z except x and y, Fz if and only if Gz.

Tarixi biliklər məcmusu olan- idrak və onun istiqamətləri, insan hissləri, qavrayış, təsəvvür və onların müasir ictimai həyatdakı əksinin tədqiqi, həm də “müsəlman idrakı” anlayışı İslam fəlsəfəsində xüsusi mövqeyə malikdir. Müxtəlif alimlər ət-Tirmizi, Əbu Əbdullah əl-Haris, Əbu Əbdullah əl-Qurtubi, ibn Həcər əl-Əsqalani və başqalarının bu mövzuda xüsusi yanaşması olmuşdur. Bu məsələ ilə əlaqədar olan “mötəzililər”, “ismailililər”, “mistisistlər” (sufilər), “işraqilər”, həmçinin Şərq peripatetizminin ardıcılları varlıq, bilik təlimləri, “nəfs və qəlbin ölməzliyi” və idrakın əsas elementi olan təcrübə haqqında qiymətli fikir xəzinələri qoymuşlar. Bu (...) da müasir tədrisdə vacib yer tutur. Məqalədə “İdrak fəlsəfəsi” anlayışına nəzər salınmış, onun yaranması, əhəmiyyəti, canlı və cansız təbiətdəki əksi, istiqamətləri və fərqliliyi ilə əlaqədar fikirlər şərh edilmiş, müasir islamşünaslıqda bu anlayışın tədrisində istinad ediləcək məqamlara diqqət yetirilmişdir. Bu məqsədlə araşdırmada “İdrak- beyin xüsusiyyətidir”, “Cansız təbiətdə idrakın əksi”, “Canlı təbiətdə idrakın təzahürü”, “Dərk necə yaranıb?”, “İdrakın mahiyyəti nədir?”, “İdrakın istiqamətləri”, “İdrak dəyişkənliyi” və digər suallara Şərq-Qərq fəlsəfi görüşlərinə əsasən nəzər salınaraq qeyd edilən problemin həllinə cəhd edilmişdir. Zənginliyi və müxtəlifliyi ilə seçilən İslam fəlsəfəsində dini idrak ilə birgə həm də dünyəvi və real düşüncə mövcud olmuşdur. Bu axın yeni dövrün tələbi ilə müəyyən dəyişikliyə uğramış və nəinki Şərq, həm də dünyaya öz təsirini göstərmişdir. (shrink)

According to latitudinarianism, S’s belief that x is F is about x solely in virtue of S’s believing a proposition that ascribes F- ness to x. Saul Kripke (2011b) has recently objected to this view by arguing that it entails that S believes of arbitrary objects that they are F. In this paper I revisit Ernest Sosa’s (1995a, 1995b) notion of associative aboutness to put forward a novel account of mental reference, called ‘associative exportation,’ that evades the troublesome consequence pointed (...) out by Kripke, while preserving the spirit of latitudinarianism. In particular, the proposed view: (1) does not invoke any form of acquaintance with the object of belief; (2) validates a weak reducibility thesis of de re belief to de dicto; (3) is compatible with the observation that our unreflective aboutness judgments are latitudinarian; (4) offers new insights about the notorious tallest- spy objection. (shrink)

This essay explores the thesis that for vague predicates, uncertainty over whether a borderline instance x of red/large/tall/good is to be understood as practical uncertainty over whether to treat x as red/large/tall/good. Expressivist and quasi-realist treatments of vague predicates due to John MacFarlane and Daniel Elstein provide the stalking-horse. It examines the notion of treating/counting a thing as F , and links a central question about our attitudes to vague predications to normative evaluation of plans to treat a thing as (...) F . The essay examines how the account applies to normatively defective or contested terms. The final section raises a puzzle about the mechanics of MacFarlane’s detailed implementation for the case of gradable adjectives. (shrink)

We argue that all comparative expressions in natural language obey a principle that we call Comparability: if x and y are at least as F as themselves, then either x is at least as F as y or y is at least as F as x. This principle has been widely rejected among philosophers, especially by ethicists, and its falsity has been claimed to have important normative implications. We argue that Comparability is needed to explain the goodness of several patterns (...) of inference that seem manifestly valid, that the purported failures of Comparability would have absurd consequences, and that the influential arguments against Comparability are less compelling than they may have initially seemed. (shrink)

Contrary to popular philosophical belief, judgment can indeed be an intentional action. That's because an intentional judgment, even one with content p, need not be intentional as a judgment that p. It can instead be intentional just as a judgment wh- for some specific wh- question—e.g. a judgment of which x is F or a judgment whether p. This paper explains how this is possible by laying out a means by which you can perform such an intentional action. This model (...) of intentional judgment does not stand in tension with the fact that judgment is causally regulated for truth, and that it is correct only if it is true. On the contrary, the structure of intentional action explains how an intentional judgment has these features. An extended example is developed, and sufficient conditions on intentional judgment are laid out. (shrink)

Williamsonian modal epistemology is characterized by two commitments: realism about modality, and anti-exceptionalism about our modal knowledge. Williamson’s own counterfactual-based modal epistemology is the best known implementation of WME, but not the only option that is available. I sketch and defend an alternative implementation which takes our knowledge of metaphysical modality to arise, not from knowledge of counterfactuals, but from our knowledge of ordinary possibility statements of the form ‘x can F’. I defend this view against a criticism indicated in (...) Williamson’s own work, and argue that it is better connected to the semantics of modal language. (shrink)

The author investigates greek ontologies that apparently rely on a conflation of "binary" (x is f) and "monadic" (x is) uses of 'is'. He uses Aristotelian and other texts to support his proposal that these ontologies are explained by the Greeks using two alternative semantic analyses for 'x is F'. The first views it as asserting a relation between x and F, the second as asserting that a "predicative complex" exists, where a predicative complex is a complex consisting of x (...) and F. The article concludes by indicating some uses for the novel concept of predicative complex in aristotelian interpretation. (shrink)

"Modern History" versions of the etiological theory claim that in order for a trait X to have the proper function F, individuals with X must have been recently favored by natural selection for doing F (Godfrey-Smith 1994; Griffiths 1992, 1993). For many traits with prototypical proper functions, however, such recent selection may not have occurred: traits may have been maintained due to lack of variation or due to selection for other effects. I examine this flaw in Modern History accounts and (...) offer an alternative etiological theory, the Continuing Usefulness account, which appears to avoid such problems. (shrink)

This paper presents a way of formalising definite descriptions with a binary quantifier ι, where ιx[F, G] is read as ‘The F is G’. Introduction and elimination rules for ι in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F, G] are given, and it is shown that deductions in the system can be brought into normal form.

Ramseyan humility is the thesis that we cannot know which properties realize the roles specified by the laws of completed physics. Lewis seems to offer a sceptical argument for this conclusion. Humean fundamental properties can be permuted as to their causal roles and distribution throughout spacetime, yielding alternative possible worlds with the same fundamental structure as actuality, but at which the totality of available evidence is the same. On the assumption that empirical knowledge requires evidence, we cannot know which of (...) these worlds is actual. However, Lewis also appeals to a range of familiar semantic principles when framing his argument, which leads some authors to suppose that he can also plausibly be interpreted as offering a purely semantic argument for humility in addition. In this paper I grant that these arguments are Lewisian, but argue that Lewis is also committed to a theory of mind that licenses a purely metaphysical argument for humility based on the idea that mental properties supervene on fundamental structure. Given that knowing which x is the F requires knowing that a is the F, the supposition that we could come to know which properties actually occupy the fundamental roles entails differences in mental properties between worlds with the same fundamental structure, violating supervenience. Humility follows right away, without any further epistemic or semantic principles. This argument is immune to almost every way of rebutting the sceptical and semantic arguments; conversely, almost every way of rebutting the metaphysical argument tells equally against the others. (shrink)

I here defend a theory consisting of four claims about ‘property’ and properties, and argue that they form a coherent whole that can solve various serious problems. The claims are (1): ‘property’ is defined by the principles (PR): ‘F-ness/Being F/etc. is a property of x iff F’ and (PA): ‘F-ness/Being F/etc. is a property’; (2) the function of ‘property’ is to increase the expressive power of English, roughly by mimicking quantification into predicate position; (3) property talk should be understood at (...) face value: apparent commitments are real and our apparently literal use of ‘property’ is really literal; (4) there are no properties. In virtue of (1)–(2), this is a deflationist theory and in virtue of (3)–(4), it is an error theory. (1) is fleshed out as a claim about understanding conditions, and it is argued at length, and by going through a number of examples, that it satisfies a crucial constraint on meaning claims: all facts about ‘property’ can be explained, together with auxiliary facts, on its basis. Once claim (1) has been expanded upon, I argue that the combination of (1)–(3) provides the means for handling several problems: they help giving a happy-face solution to what I call the paradox of abstraction , they form part of a plausible account of the correctness of committive sentences, and, most importantly, they help respond to various indispensability arguments against nominalism. (shrink)

Sentences containing definite descriptions, expressions of the form ‘The F’, can be formalised using a binary quantifier ι that forms a formula out of two predicates, where ιx[F, G] is read as ‘The F is G’. This is an innovation over the usual formalisation of definite descriptions with a term forming operator. The present paper compares the two approaches. After a brief overview of the system INFι of intuitionist negative free logic extended by such a quantifier, which was presented in (...) (Kürbis 2019), INFι is first compared to a system of Tennant’s and an axiomatic treatment of a term forming ι operator within intuitionist negative free logic. Both systems are shown to be equivalent to the subsystem of INFι in which the G of ιx[F, G] is restricted to identity. INFι is then compared to an intuitionist version of a system of Lambert’s which in addition to the term forming operator has an operator for predicate abstraction for indicating scope distinctions. The two systems will be shown to be equivalent through a translation between their respective languages. Advantages of the present approach over the alternatives are indicated in the discussion. (shrink)

Resumo A transferência de embriões em bovinos tem o objetivo principal de aprimorar o melhoramento genético e otimizar a reprodução bovina A importância dessa prática é destacada pela sua contribuição para a maximização de características desejadas nos rebanhos, como qualidade de carne, eficiência reprodutiva e resistência a condições ambientais adversas. Este trabalho descreve e analisa as técnicas avançadas utilizadas nesse processo, incluindo seleção genômica, sexagem de embriões, produção in vitro, protocolos não cirúrgicos, sincronização reprodutiva, criopreservação de embriões e uso de (...) marcadores de fertilidade. A compreensão aprofundada dessas técnicas é fundamental para o sucesso da transferência de embriões, bem como para a capacidade de personalizar e aprimorar as características específicas dos rebanhos. Enfatizando a importância da expertise de profissionais especializados em reprodução bovina, este trabalho busca oferecer uma visão abrangente das práticas atuais e avanços tecnológicos nesse campo. Ao unir ciência e prática, torna-se importante a comparação de técnicas, bem como relacionar resultados eficientes para promover qualidade genética, trazer a sustentabilidade e envolver a técnica em um cenário atualizado da indústria. Palavras-chave: Embriões; Hormônio; Reprodutor. -/- Abstract Embryo transfer into cattle has the main objective of improving genetic improvement and optimizing bovine reproduction. The importance of this practice is highlighted by its contribution to maximizing desired characteristics in herds, such as meat quality, reproductive efficiency and resistance to environmental conditions adverse. This work describes and analyzes the advanced techniques used in this process, including genomic selection, embryo sexing, in vitro production, non-surgical protocols, reproductive synchronization, embryo cryopreservation and the use of fertility markers. An in-depth understanding of these techniques is critical to the success of embryo transfer, as well as the ability to customize and enhance specific herd characteristics. Emphasizing the importance of the expertise of professionals specialized in bovine reproduction, this work seeks to offer a comprehensive view of current practices and technological advances in this field. When combining science and practice, it becomes important to compare techniques, as well as relate efficient results to promote genetic quality, bring sustainability and involve the technique in an updated industry scenario. Keywords: Embryos; Hormone; Reproducer. -/- REFERÊNCIAS BIBLIOGRÁFICAS ABIEC. Associação Brasileira das Indústrias Exportadoras de Carnes. 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S.; CATUSSI, B. L. C.; ABREU, L. A.; ELLIFF, F. M.; SILVA, L. G.; BATISTA, E. S.; CREPALDI, G. A. Evolução e perspectivas da Inseminação Artificial em bovinos. Revista Brasileira de Reprodução Animal, v.43, n.2, p.308-314, 2019. 13 BARUSELLI, P. S. IATF gera ganhos que superam R$ 3,5 bilhões nas cadeias de produção de carne e de leite. Boletim Eletrônico do Departamento de Reprodução Animal/FMVZ/USP, 2.ed., v.8, n.8, p.7, 2019. BINELLI, M. Anti-luteolytic to improve in cattle. Acta Scientiae Veterinariae. v.9, p.8, 2001. BÓ, G. A. Manipulação hormonal do ciclo estral em doadoras e receptoras de embrião bovino. Acta Scientiae Veterinariae. v.9, p.7, 2004. BÓ, G.; MAPLETOFT, R. Evaluation and of bovine. Animal Reproduction. v.8, p.9, 2013. BUSS, V. Efeito da dose e momento da administração de eCG em protocolos de IATF aplicados e vacas de corte em anestro. Universidade Federal do Pampa, Dissertação – Programa de Pós-Graduação em Ciência Animal, v.8, n.8, p.9, 2020. 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Importância da escolha de receptoras em um programa de transferência de embriões em bovinos. Barueri: Manole. v.8, p.6, 2013. HOPPER, R. Bovine Reproduction. Blackwell. v.8, p.8, 2015. IBGE. Instituto Brasileiro de Geografia e Estatística. Pesquisa da Pecuária Municipal 2021 (PPM 2021). IBGE. v.9, n.7, p.7, 2021. KONIG, H. E.; LIEBICH, H. G. Anatomia dos animais domésticos: texto e atlas colorido. Vol.2. Porto Alegre: Artmed, v.2, p.4, 2004. MARTINS, F. S. Fatores reguladores da foliculogênese em mamíferos. Rev Bras Reprod Anim. v.3, p.9, 2008. MELLO, R. R. C. Desenvolvimento folicular inicial em bovinos. Rev. Bras. Reprod. Anim. v.8, p.9, 2013. OLIVEIRA, A. F. M. Principais hormônios que controlam o comportamento reprodutivo e social das fêmeas ruminantes – Revisão. Rev. Bras. Reprod. v.9, p.8, 2014. OLIVEIRA, C. S. Biotécnicas da Reprodução em Bovinos. EMBRAPA, v.8, p.8, 2014. PASA, C. Transferência de embriões em bovinos. Biodiversidade. v.9, p.9, 2008. PENITENTE FILHO, J. M. Produção de embriões bovinos in vivo e in vitro. Revista CFMV, Ano XX. v.8, p.8, 2014. PHILLIPS, P. E.; JAHNKE, M. M. Embryo Transfer (Techniques, Dono rs, and Recipients). Vet Clin Food Anim, v.9, p.8, 2016. RODRIGUES, J.; BERTOLINI, M. Biotecnologias da reprodução animal: de Aristóteles à edição gênica. Rev. Bras. Reprod. Anim. v.8, p.7, 2019. SANTOS, K. J. G. Biotecnologias reprodutivas e fisiologia reprodutiva da fêmea bovina – conhecimento para o sucesso. Rev. Bras. Reprod. Anim. v.8, p.98. 2012. SANTOS, P. H. Impactos da superestimulação ovariana sobre a diferenciação das células da granulosa bovina. Dissertação de Mestrado em Farmacologia e Biotecnologia – UNESP, v.8, p.8. 2017. SILVA, P. R. B. Regulação farmacológica do ciclo estral de bovinos. UNESP. v.9, p.8. 2011. (shrink)

PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...) all booksellers, including Barnes & Noble, Amazon, and brick-and-mortar bookstores under ISBN 978-0-578-88646-6. ●●●●● In light of the length of this book, readers who would like to have a more detailed description of the book's objectives and method may find it helpful to read the detailed and clearly written Wikipedia entry about this work: From the Wikipedia search page, use the search phrase "Critique of Impure Reason". At least at the time of this writing (11/29/2021), the Wikipedia entry is well-researched and accurate. ●●●●● In addition, a "Primer on Bartlett's CRITIQUE OF IMPURE REASON" has been made available by the author. It is available under its title through PhilPapers and other philosophy online archives. ●●●●● COMMENDATIONS OF THIS WORK, from the back cover of the published edition: ●●●●● “I admire its range of philosophical vision.” – Nicholas Rescher, Distinguished University Professor of Philosophy, University of Pittsburgh, author of more than 100 books. ●●●●● “Bartlett’s _Critique of Impure Reason_ is an impressive, bold, and ambitious work. Careful scholarship is balanced by original analyses that lead the reader to recognize the limits of meaning, knowledge, and conceptual possibility. The work addresses a host of traditional philosophical problems, among them the nature of space, time, causality, consciousness, the self, other minds, ontology, free will and determinism, and others. The book culminates in a fascinating and profound new understanding of relativity physics and quantum theory.” – Gerhard Preyer, Professor of Philosophy, Goethe-University, Frankfurt am Main, Germany, author of many books including _Concepts of Meaning_, _Beyond Semantics and Pragmatics_, _Intention and Practical Thought_, and _Contextualism in Philosophy_. ●●●●● “[This work’s] goal is of a unique and difficult species: Dr. Bartlett seeks to develop a formal logical calculus on the basis of transcendental philosophical arguments; in fact, he hopes that this calculus will be the formal expression of the transcendental foundation of knowledge.... I consider Dr. Bartlett’s work soundly conceived and executed with great skill.” – C. F. von Weizsäcker, philosopher and physicist, former Director, Max-Planck-Institute, Starnberg, Germany. ●●●●● “Bartlett has written an American “Prolegomena to All Future Metaphysics.” He aims rigorously to eliminate meaningless assertions, reach bedrock, and place philosophy on a firm foundation that will enable it, like science and mathematics, to produce lasting results that generations to come can build on. This is a great book, the fruit of a lifetime of research and reflection, and it deserves serious attention.” — Martin X. Moleski, former Professor, Canisius College, Buffalo, NY, studies of scientific method, the presuppositions of thought, and the self-referential nature of epistemology. ●●●●● “Bartlett has written a book on what might be called the underpinnings of philosophy. It has fascinating depth and breadth, and is all the more striking due to its unifying perspective based on the concepts of reference and self-reference.” – Don Perlis, Professor of Computer Science, University of Maryland, author of numerous publications on self-adjusting autonomous systems and philosophical issues concerning self-reference, mind, and consciousness. ●●●●● ●●●●● The _Critique of Impure Reason: Horizons of Possibility and Meaning_ comprises a major and important contribution to philosophy. Thanks to the generosity of its publisher, this massive 885-page volume has been published as a free open access eBook (3.75MB) as well as an open access printed edition. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. ●●●●● In Kant’s _Critique of Pure Reason_ we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new _Critique_ focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ _conflict_ with the very preconditions of meaning and of knowledge. ●●●●● This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. ●●●●● The _Critique of Impure Reason_ proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. ●●●●● The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of _possible meaning_ are determined. ●●●●● Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, _metalogical projection_. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. ●●●●● Based on original research and rigorous analysis combined with extensive scholarship, the _Critique of Impure Reason_ develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. ●●●●● CONTENTS AT A GLANCE ▪▪▪▪▪ Preface ▪▪▪▪▪ Foreword by Carl Friedrich von Weizsäcker ▪▪▪▪▪ Acknowledgments ▪▪▪▪▪ Avant-propos: A philosopher’s rallying call ▪▪▪▪▪ Introduction ▪▪▪▪▪ A note to the reader ▪▪▪▪▪ A note on conventions ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART I ▪▪▪▪▪ ▪▪▪▪▪ WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN ▪▪▪▪▪ 1 Philosophical-psychological prelude ▪▪▪▪▪ 2 Putting belief in its place: Its psychology and a needed polemic ▪▪▪▪▪ 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference ▪▪▪▪▪ 4 The stepladder to maximum theoretical generality ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART II ▪▪▪▪▪ THE METALOGIC OF REFERENCE ▪▪▪▪▪ A New Approach to Deductive, Transcendental Philosophy ▪▪▪▪▪ 5 Reference, identity, and identification ▪▪▪▪▪ 6 Self-referential argument and the metalogic of reference ▪▪▪▪▪ 7 Possibility theory ▪▪▪▪▪ 8 Presupposition logic, reference, and identification ▪▪▪▪▪ 9 Transcendental argumentation and the metalogic of reference ▪▪▪▪▪ 10 Framework relativity ▪▪▪▪▪ 11 The metalogic of meaning ▪▪▪▪▪ 12 The problem of putative meaning and the logic of meaninglessness ▪▪▪▪▪ 13 Projection ▪▪▪▪▪ 14 Horizons ▪▪▪▪▪ 15 De-projection ▪▪▪▪▪ 16 Self-validation ▪▪▪▪▪ 17 Rationality: Rules of admissibility ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART III ▪▪▪▪▪ PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE ▪▪▪▪▪ Major Problems and Questions of Philosophy and the Philosophy of Science ▪▪▪▪▪ 18 Ontology and the metalogic of reference ▪▪▪▪▪ 19 Discovery or invention in general problem-solving, mathematics, and physics ▪▪▪▪▪ 20 The conceptually unreachable: “The far side” ▪▪▪▪▪ 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism ▪▪▪▪▪ 22 The projections of time, space, and space-time ▪▪▪▪▪ 23 The projections of causality, determinism, and free will ▪▪▪▪▪ 24 Projections of the self and of solipsism ▪▪▪▪▪ 25 Non-relational, agentless reference and referential fields ▪▪▪▪▪ 26 Relativity physics as seen through the lens of the metalogic of reference ▪▪▪▪▪ 27 Quantum theory as seen through the lens of the metalogic of reference ▪▪▪▪▪ 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory ▪▪▪▪▪ ▪▪▪▪▪ PART IV ▪▪▪▪▪ HORIZONS ▪▪▪▪▪ 29 Beyond belief ▪▪▪▪▪ 30 _Critique of Impure Reason_: Its results in retrospect ▪▪▪▪▪ ▪▪▪▪▪ SUPPLEMENT ▪▪▪▪▪ The Formal Structure of the Metalogic of Reference ▪▪▪▪▪ APPENDIX I ▪▪▪▪▪ The Concept of Horizon in the Work of Other Philosophers ▪▪▪▪▪ APPENDIX II ▪▪▪▪▪ Epistemological Intelligence ▪▪▪▪▪ References ▪▪▪▪▪ Index ▪▪▪▪▪ About the author. 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Schnieder (2020) argues, against Orilia (2009) and Koslicki (2013), that claims of existential grounding of the form “the fact that x exists is grounded in the fact that y is F” cannot be grounded in claims of existential dependence of the form “x existentially depends on y” and defends the view that the latter claims are grounded, via a definition of existential dependence, in the former. I will firstly argue that Schnieder’s main point against the claim that existential grounding is (...) grounded in existential dependence is not conclusive; I will then put forward a proposal concerning how claims of existential grounding can be grounded in claims of existential dependence. The proposal is a third way between those of Schnieder and Orilia/Koslicki which, although accepting the former’s definition of existential dependence in terms of grounding, makes room for the latter’s idea that existential dependence does the real job in structuring reality. (shrink)

In Metaphysics M.2, 1077a9-14, Aristotle appears to argue against the existence of Platonic Forms on the basis of there being certain universal mathematical proofs which are about things that are ‘beyond’ the ordinary objects of mathematics and that cannot be identified with any of these. It is a very effective argument against Platonism, because it provides a counter-example to the core Platonic idea that there are Forms in order to serve as the object of scientific knowledge: the universal of which (...) theorems of universal mathematics are proven in Greek mathematics is neither Quantity in general nor any of the specific quantities, but Quantity-of-type-x. This universal cannot be a Platonic Form, for it is dependent on the types of quantity over which the variable ranges. Since for both Plato and Aristotle the object of scientific knowledge is that F which explains why G holds, as shown in a ‘direct’ proof about an arbitrary F (they merely disagree about the ontological status of this arbitrary F, whether a Form or a particular used in so far as it is F), Plato cannot maintain that Forms must be there as objects of scientific knowledge - unless the mathematics is changed. (shrink)

Many believe that, if true, reason-statements of the form ‘that X is F is a reason to φ’ describe a ‘favouring-relation’ between the fact that X is F and the act of φing. This favouring-relation has been assumed to share many features of other, more concrete relations. This combination of views leads to immediate problems. Firstly, unlike statements about many other relations, reason-statements can be true even when the relata do not exist, i.e., when the relevant facts do not obtain (...) and the relevant acts are not done. Secondly, the previous combination of views also makes it very difficult to draw the distinction between agent-relative and agent-neutral reasons. I argue that we should think that the predicate ‘is a reason to’ creates non-extensional contexts in the statements in which it is used. This would both solve the previous problems and avoid the awkward consequences of the so-called slingshot argument. (shrink)

In "How to Define Intrinsic Properties" I offered a relational account of the intrinsic/extrinsic distinction. The basic idea is that F is an intrinsic property of an item x just in case x’s having F consists entirely in x’s having certain internal properties, where an internal property is one whose instantiation does not consist in one’s relation to any distinct items (items other than oneself and one’s proper parts). I still think that this relational analysis is largely correct, and here (...) I provide additional support for it and defend it against some objections that have been raised. In the process I aim to make the account somewhat more precise, especially by contrasting it with a grounding approach to defining the intrinsic/extrinsic distinction. (shrink)

Like Bennett's account of ‘even’, my analysis incorporates the following plausible and widespread intuitions. (a) The word ‘even’ does not make a truth-functional difference; it makes a difference only in conventional implicature. In particular, ‘even’ functions neither as a universal quantifier, nor a most or many quantifier. The only quantified statement that ‘Even A is F’ implies is the existential claim ‘There is an x (namely, A) that is F’, but this implication is nothing more than what the Equivalence Thesis (...) already demands. (b) ‘Even’ is epistemic in character, implying some type of unexpectedness, surprise, or unlikelihood. Moreover, despite Kay's arguments to the contrary, this implication is part of the meaning of ‘even’. (c) ‘Even’ is a scalar term, since unexpectedness comes in degrees. And, finally, (d) the felicity of an ‘even’-sentence S requires that S* be sufficiently surprising in comparison to its true neighbors. However,pace Bennett, being more surprising than just one true neighbor will not suffice. At the same time, being more surprising than all true neighbors is unnecessary. Suffice it that S* is more surprising than most true neighbors. (shrink)

This pаpеr prоvidеs thе first еmpiricаl еvidеncе оn thе еxistеncе оf nеgаtivе spillоvеr еffеcts frоm childrеn еxpоsеd tо cоrpоrаl punishmеnt in thе hоmе (CPH). Wе find thаt intеrаctiоns with pееrs suffеring frоm CPH dеprеss аchiеvеmеnt in bоth mаth аnd lаnguаgе аmоng Viеtnаmеsе fifth grаdеrs. Spеcificаlly, а оnе stаndаrd dеviаtiоn incrеаsе in thе Pееrs’ Viоlеncе Indеx is аssоciаtеd with а rеductiоn in thе mаth аnd thе lаnguаgе tеst scоrеs by 0.11 аnd 0.14 stаndаrd dеviаtiоns, rеspеctivеly. Thеsе аdvеrsе impаcts cоuld pоtеntiаlly bе (...) аttributеd tо thе unfаvоrаblе chаngеs in studеnt аcаdеmic аspirаtiоns, studеnt аctuаl lеаrning еffоrts, аnd thе intеr-studеnt rеlаtiоnships. (shrink)

Whilе thе rоbust аnd pоsitivе аssоciаtiоn bеtwееn еducаtiоn аnd pоliticаl еngаgеmеnt hаs bееn widеly dоcumеntеd, thе dirеct cаusаl link is still а subjеct оf dеbаtе. This study cоntributеs tо thе оngоing dеbаtе by еxаmining whеthеr thеrе еxists а cаusаl еffеct оf еducаtiоn оn pоliticаl еngаgеmеnt. Explоiting thе plаusibly еxоgеnоus vаriаtiоn in еducаtiоn inducеd by thе cоmpulsоry schооling rеfоrms аcrоss 39 cоuntriеs, wе find thаt еducаtiоn cultivаtеs pоliticаl intеrеst, prоmоtеs thе аcquisitiоn оf pоliticаl knоwlеdgе, аnd fоstеrs suppоrtivе аttitudеs tоwаrds pоliticаl frееdоms. (...) Nеvеrthеlеss, thе bеttеr еducаtеd аrе nо mоrе likеly tо vоtе in еlеctiоns nоr аdоpt аny spеcific pоsitiоn in thе lеft-right pоliticаl spеctrum. (shrink)

One shortcoming of the chain rule is that it does not iterate: it gives the derivative of f(g(x)), but not (directly) the second or higher-order derivatives. We present iterated differentials and a version of the multivariable chain rule which iterates to any desired level of derivative. We first present this material informally, and later discuss how to make it rigorous (a discussion which touches on formal foundations of calculus). We also suggest a finite calculus chain rule (contrary to Graham, Knuth (...) and Patashnik's claim that "there's no corresponding chain rule of finite calculus"). (shrink)

Chapin reviewed this 1972 ZEITSCHRIFT paper that proves the completeness theorem for the logic of variable-binding-term operators created by Corcoran and his student John Herring in the 1971 LOGIQUE ET ANALYSE paper in which the theorem was conjectured. This leveraging proof extends completeness of ordinary first-order logic to the extension with vbtos. Newton da Costa independently proved the same theorem about the same time using a Henkin-type proof. This 1972 paper builds on the 1971 “Notes on a Semantic Analysis of (...) Variable Binding Term Operators” (Co-author John Herring), Logique et Analyse 55, 646–57. MR0307874 (46 #6989). A variable binding term operator (vbto) is a non-logical constant, say v, which combines with a variable y and a formula F containing y free to form a term (vy:F) whose free variables are exact ly those of F, excluding y. Kalish-Montague 1964 proposed using vbtos to formalize definite descriptions “the x: x+x=2”, set abstracts {x: F}, minimization in recursive function theory “the least x: x+x>2”, etc. However, they gave no semantics for vbtos. Hatcher 1968 gave a semantics but one that has flaws described in the 1971 paper and admitted by Hatcher. In 1971 we give a correct semantic analysis of vbtos. We also give axioms for using them in deductions. And we conjecture strong completeness for the deductions with respect to the semantics. The conjecture, proved in this paper with Hatcher’s help, was proved independently about the same time by Newton da Costa. (shrink)

This paper takes up David Kaplan's suggestion that the phenomenon of cognitive dynamics can be approached via a study of what it takes for someone to change her mind. It is argued that in order for a subject to be able to change her mind about something, there must be occasions on which the following is the case: (1) First, the subject believed of an 'x' that it was f, now she believes of 'x' that it is not-f. (2) She (...) stopped believing of 'x' that it was f before she started believing of 'x' that it was not-f. (3) She knows that (1) and (2). The first part of the investigation shows why (1) - (3) are necessary within an account of what it is for someone to change her mind. The second part focuses on condition (3) and argues that it entails that the sameness or difference of thought content over time must sometimes be an epistemic given, i.e., that the subject can know that a thought she entertains now is the same as a thought she entertained earlier. (shrink)

According to influential arguments from several branches of philosophy, there exist some gradable natural language expressions that violate the following principle: if x and y are both F to some degree, then either x is at least as F as y or y is at least as F as x. Dorr, Nebel and Zuehl (2022) (DNZ), who refer to this principle as ‘Comparability’, respond to these arguments and offer a systematic case in support of Comparability. In this paper, I respond (...) to DNZ and develop an opposing case against Comparability that (i) buttresses previous criticisms of the principle, (ii) identifies two new arguments against the principle, and (iii) rebuts DNZ’s prospective arguments in favour of the principle. (shrink)

In this article, author expressed the meaning of “belief”, possible effective factors in human life, and how these factors can be effective on person and/or communities. With this respect, the meaning of religion, the possible interaction and relation between religion and science evaluated. 42 past/present theories of religion and evaluation of the past/present works of the 87 philosophers of religion are explained. Author considered new synthesis (R-Synthesis), and also new era philosophy, new and re-constructed branches of philosophy, and some systems/constructions (...) to express the new perspective for philosophy of religion. Author applied 27(+) possible definitive/certain result cases of the synthesis for R-Religion discipline specifically, and did the followings under new perspective: (i) eliminated some religious subjects, (ii) unified some religious subjects, (iii) modified some religious subjects, (iv) united some religious subjects in upper phase, (v) separated some religious subject, (vi) defined all religious subjects under one framework, (vii) integrated all religious subjects, (viii) defined new religious subjects, (ix) re-defined some religious subjects, (x) removed some religious subjects and put new religious subjects instead, (xi) added some religious subjects, (xii) kept/protected some religious subjects, (xiii) proposed progression for religious subjects, (xiv) changed the priority of some religious subjects, (xv) increased the importance of some religious subjects, (xvi) strengthened the ethics, (xvii) integrated philosophy branches under one framework, (xviii) others. Some of the purposes of this article are: (i) to define new synthesis method, (ii) to define good and/or correct new perspective and structure for philosophy of religion, science of religion, theories of religion, and related subjects, (iii) to extend the definition/limits of philosophy of religion with new perspective, (iv) others. As result of the synthesis, new perspective for philosophy of religion explained by considering the following concepts/sections: (a) theories of religion, (b) 17 upper constructional philosophies and philosophy of religion, (c) eight complementary branches of philosophy of religion, (d) 14 lower constructional philosophies and philosophy of religion, (e) science of religion, (f) new theory of religion and its relations with other disciplines. Author defined New Era Theory, New Era Religion, New Era Belief, Progressive Religion and their relations with other religions, beliefs, religious/non-religious movements, and the relation with other theories of religion. Also, power authorities and functional position levels in the New Era Belief, and Religion of God, Knowledge of God/gods, Nature of God/gods concepts are explained generally/specifically. (shrink)

This pаpеr prоvidеs thе first еmpiricаl еvidеncе оn thе еxistеncе оf nеgаtivе spillоvеr еffеcts frоm childrеn еxpоsеd tо cоrpоrаl punishmеnt in thе hоmе (CPH). Wе find thаt intеrаctiоns with pееrs suffеring frоm CPH dеprеss аchiеvеmеnt in bоth mаth аnd lаnguаgе аmоng Viеtnаmеsе fifth grаdеrs. Spеcificаlly, а оnе stаndаrd dеviаtiоn incrеаsе in thе Pееrs’ Viоlеncе Indеx is аssоciаtеd with а rеductiоn in thе mаth аnd thе lаnguаgе tеst scоrеs by 0.11 аnd 0.14 stаndаrd dеviаtiоns, rеspеctivеly. Thеsе аdvеrsе impаcts cоuld pоtеntiаlly bе (...) аttributеd tо thе unfаvоrаblе chаngеs in studеnt аcаdеmic аspirаtiоns, studеnt аctuаl lеаrning еffоrts, аnd thе intеr-studеnt rеlаtiоnships. (shrink)

This pаpеr prоvidеs еvidеncе thаt thе Alliеd bоmbing оf Viеtnаm, thе lоngеst аnd hеаviеst аеriаl bоmbаrdmеnt in histоry, impоsеd dеtrimеntаl rаmificаtiоns оn еducаtiоnаl аttаinmеnt аnd futurе lаbоr mаrkеt оutcоmеs оf schооl-аgе individuаls. By еxplоiting thе plаusibly еxоgеnоus districtby-cоhоrt vаriаtiоn in bоmb dеstructiоn undеr а diffеrеncе-in-diffеrеncеs frаmеwоrk, wе find thаt аn incrеаsе in bоmb intеnsity lеаds tо significаntly fеwеr еducаtiоnаl yеаrs cоmplеtеd аnd lоwеr futurе еаrnings fоr schооl-аgе childrеn еxpоsеd tо thе bоmbаrdmеnt. Wе furthеr shоw thаt bоth thе supply-sidе fаctоrs (inаdеquаtе (...) schооl sеcurity аnd thе lаck оf tеаchеrs) аnd thе dеmаnd-sidе fаctоrs (rеsidеntiаl cаsuаltiеs, rеstrictеd аccеss tо hеаlthcаrе, dаmаgеd prоpеrtiеs, аnd incrеаsеd rеliаncе оn wеlfаrе аssistаncе) cоuld bе pоtеntiаl mеchаnisms driving thе lоng-tеrm cоnsеquеncеs оf аеriаl bоmbаrdmеnt. Our findings undеrlinе thе impоrtаncе оf cоnflict prеvеntiоn аnd pоst-cоnflict rеcоnstructiоn in prоmоting sustаinаblе dеvеlоpmеnt. (shrink)

-/- A variable binding term operator (vbto) is a non-logical constant, say v, which combines with a variable y and a formula F containing y free to form a term (vy:F) whose free variables are exact ly those of F, excluding y. -/- Kalish-Montague proposed using vbtos to formalize definite descriptions, set abstracts {x: F}, minimalization in recursive function theory, etc. However, they gave no sematics for vbtos. Hatcher gave a semantics but one that has flaws. We give a correct (...) semantic analysis of vbtos. We also give axioms for using them in deductions. And we conjecture strong completeness for the deductions with respect to the semantics. The conjecture was later proved independently by the authors and by Newton da Costa. -/- The expression (vy:F) is called a variable bound term (vbt). In case F has only y free, (vy:F) has the syntactic propreties of an individual constant; and under a suitable interpretation of the language vy:F) denotes an individual. By a semantic analysis of vbtos we mean a proposal for amending the standard notions of (1) "an interpretation o f a first -order language" and (2) " the denotation of a term under an interpretation and an assignment", such that (1') an interpretation o f a first -order language associates a set-theoretic structure with each vbto and (2') under any interpretation and assignment each vb t denotes an individual. (shrink)

Azərbaycan elm tarixini tədqiq edərkən dövrün tələbindən çıxış edilərək ərəb və fars dillərində yazılmış çoxlu əsərlərə rast gəlirik. Bu əsərlərdən biri də dahi alim Nəsirəddin Tusinin fars dilində məntiqə dair yazdığı Əsasül-iqtibas əsəridir. Əsər ilk dəfə 2022-ci ildə nəşr edilərək oxucu və tədqiqatçıların ixtiyarına verilmişdir. Əsasül-iqtibas əsəri XIII əsrin ortalarında yazılmışdır. Əsərin yazılmasından təqribən səkkiz əsrə yaxın vaxt keçmişdir. Bu müddət ərzində həmin əsərdə istifadə edilən bir sıra termin və sözlər artıq müasir fars dilində istifadə edilmir. Əsərin məntiqə aid olması (...) və həm də bir sıra sözlərin günümüzdə istifadə edilməməsi onun tərcüməsini çətinləşdirən amillər kimi qeyd etmək olar. Bundan əlavə burada istifadə edilən bəzi terminlərin gündəlik danışığımzda fərqli mənada istifadə edildiyindən həmin sözlərin və terminlərin izah edilməsi zərurəti yaranmışdır. Habelə orta əsr müəlliflərinin əsərlərinin tədqiqi zamanı eyni bir sözün müxtəlif müəlliflər tərəfindən fərqli mənalarda işlədildiyinin də şahidi oluruq ki, bu da həmin termin və anlayışların Azərbaycan dilinə tərcüməsi zamanı izahının verilməsinə ehtiyac yaradır. Hal-hazırda müraciət etdiyiniz bu kitab Nəsirəddin Tusinin ən mühüm və genişhəcmli əsərlərindən biri olan “Əsasül-iqtibas”-ın tərcüməsi zamanı əsərin orijinalında işlədilmiş ərəb-fars sözlərinin izahlı tərcüməsi yönündə tərtib edilmişdir. Bu lüğətlərin tərcüməsi və izahı ilə tanış olmaqla Nəsirəddin Tusinin ərəb-fars dillərində yazılmış digər əsərlərinin tərcüməsi zamanı da yararlanmaq olar. Müəyyən bir ixtisas və peşəni və ya həmin peşə və ixtisasa aid olan terminləri başa düşmək üçün həmin istiqamət üzrə tərtib edilən terminolji lüğətlərə ehtiyac duyulur. Bu istiqamətdə zaman-zaman müxtəlif ixtisaslar üzrə terminoloji lüğətlərin nəşr edildiyini müşahidə edirik. Azərbaycan dilində məntiqi terminlərin izahından ibarət xüsusi termonoloji lüğətlərin də tərtib edilməsi zərurəti vardır. Çünki məntiq terminlərinin izahınına adətən rus dilində yazılmış ədəbiyyatda, bir neçə terminin izahı verilmiş məntiq kitablarında və ya fəlsəfi terminlərdən ibarət ensiklopediya və lüğətlərdə rast gəlmək mümkündür. Bir tərəfdən, yaranmış boşluğu doldurmaq, digər tərəfdən isə məntiq ixtisası üzrə təhsil alan tələbə və mütəxəssislərə kömək etmək üçün bu lüğəti tərtib etmək qərarına gəldik. 222 sözün izah və tərcüməsindən ibarət olan bu kitabı həmin istiqamətdə olan boşluğu doldurmaq üçün kiçik və eyni zamanda mühüm bir addım hesab etmək olar. Burada sözlərin tərcüməsi ilə yanaşı bir sıra terminlərin izahı da verilmişdir. Əsasən Əsasül-iqtibas adlı məntiqi əsəri tərcümə edərkən qarşıya çıxan çətin və mürəkkəb sözlərin izahının verilməsinə üstünlük verilmişdir. Tərcümə zamanı müxtəlif illərdə nəşr edilən Əsasül-iqtibas əsərlərinə də müraciət edilmişdir. Bu əsərlərin bəzisində Əsasül-iqtibas əsərində istifadə edilən bəzi terminlərin izahı da verilmişdir. Bu izahlar bəzən tərcümə zamanı ifadənin daha səlis və daha dəqiq başa düşülməsinə imkan vermişdir. Bu lüğət kitabı tərtib edilərkən həmin əsərlərdə mövcud olan terminlər və onların izahından da istifadə edilmişdir. Bəzən məntiqi terminlərlə yanaşı kəlam, fəlsəfə və s. elmlərdə istifadə edilən terminləri də qeyd etmişik. Çünki bu terminlər bizə məntiqdə işlədilən bəzi ifadələrin daha asan başa düşülməsinə imkan verəcəkdir. “Əsasül-iqtibasa dair terminlər” lüğəti adlı bu kitabı bu sahədə atılmış ilk addımlardan biri olduğu üçün gələcəkdə daha sanballı və həcmcə daha geniş terminoloji lüğətlərin hazırlanması nəzərdə tutulur. (shrink)

Resumo: Sabe-se que a pecuária é uma parcela do agronegócio que move a economia do país, e incluso está a produção leiteira, que tem, a cada ano seu desenvolvimento elevado, de forma em que é priorizado a eficiência no aumento de sua produção, com o objetivo de suprir a demanda, e a maior rentabilidade do produtor. Diante disso, medidas de manejo reprodutivo e alimentar são adotadas, sendo estas capazes de elevar a produtividade com o menor custo possível. O trabalho objetivou (...) pautar acerca do conhecimento sobre o manejo nutricional correto e escore corporal, que afetam diretamente a produtividade do animal, o conhecimento acerca do ciclo reprodutivo de vacas, expondo a detecção de estro, bem como metodologias eficazes aplicadas na reprodução, e práticas de bem estar, que, quando ausente, é apontado como um dos precursores da ineficiência reprodutiva. Palavras-chave: Inseminação Artificial 1; detecção de cio 2; leite 3. Abstract: It is known that livestock is a part of agribusiness that drives the country's economy, and is even milk production, which has, every year, its high development, so that it is prioritizing efficiency in increasing its production, with the objective of supplying the demand, and the greater producer profitability. Therefore, reproductive and food management measures are adopted, being able to increase productivity with the lowest possible cost. The work aimed guide about knowledge about correct nutritional management and body score, which affect directly the animal's productivity, knowledge about the reproductive cycle of cows, exposing estrus detection, as well as effective methodologies applied in reproduction, and practices of well-being, which, when absent, is pointed out as one of the precursors of inefficiency reproductive. Keywords: Artificial Insemination 1; heat detection 2; milk 3. -/- REFERÊNCIAS BIBLIOGRÁFICAS ALFIERI, A. A. LEME, R. ALFIERI, A.F. Tecnologias para o manejo sanitário de qualidade de doenças infecciosas na bovinocultura de corte. Bovinocultura de corte: desafios e tecnologias. Revista eletrônica da Universidade Federal da Bahia - UFBA. ed. 2. v. 1. p. 115-132. 2013. ARBOLEDA, José Leonardo Ruiz; URIBE-VELÁSQUEZ, Luis Fernando; OSORIO, José Henry. Factor de crecimiento semejante a insulina tipo 1 (IGF-1) en la reproducción de la hembra bovina. Vet. zootec, v. 5, n. 2, p. 68-81, 2011. BAUMGARD, L.; RHOADS, R. Efeito do estresse calórico no metabolismo e na produção de leite, e estratégias para minimizar efeitos negativos. Em: XVI Curso Novos Enfoques na Produção e Reprodução de Bovinos. Uberlandia, Brasil, 2012. BARUSELLI, P. S. et al. Evolução e perspectivas da inseminação artificial em bovinos. Revista Brasileira de Reprodução Animal. v 43. n 2. p 308-314. 2019. BARUSELLI, Pietro Sampaio; GIMENES, Lindsay Unno; SALES, José Nélio de Sousa. Fisiologia reprodutiva de fêmeas taurinas e zebuínas. Revista Brasileira de Reprodução Animal, v. 31, n. 2, p. 205-211, 2007. BERGAMASCHI, M. A. C. M., MACHADO, R. BARBOSA, R. T. Eficiência reprodutiva das vacas leiteiras. Embrapa - Pecuária Sudeste- Circular Técnica (INFOTECA-E). 2010. Arquivo digitaldisponívelem:. Acesso em: 15 de Novembro de 2021. BORGES, A. M.; MARTINS, T. M. Relação entre nutrição e reprodução em rebanhos mestiços leiteiros. In: IV SIMPÓSIO NACIONAL DE BOVINOCULTURA DE LEITE, 2013, Viçosa. Anais ... Viçosa, p. 215-236, 2013. BORGES, A. et al. Reprodução de vacas mestiças: potencialidade e desafios. Revista Brasileira de Reprodução Animal. v 39. n 1. p 155-163. 2015. CAETANO, R. P. et. al. Manejo reprodutivo da bovinocultura de leite nos assentamentos rurais do município de Ilha Solteira, São Paulo. 8º Congresso de Extensão Universitária da UNESP. ISSN 2176- 9761. p 4. 2015. Arquivo disponível em: CARNEIRO M.A., Bergamaschi M., Machado R. & Barbosa R.T. (2010) Eficiência reprodutiva das vacas leiteiras. Embrapa Pecuária Sudeste. Circular Técnica,64. ISSN: 1981- 2086. CERVO. H J. Fatores intrínsecos à produção, o uso da inseminação artificial e os objetivos de seleção na pecuária leiteira do sul do Brasil, Rio Grande do Sul, Brasil. 2014. 228f. Tese (Doutorado em Zootecnia) - Universidade Federal do Rio Grande do Sul – UFRS, Porto Alegre. DA SILVA, Emanuel Isaque Cordeiro. Fisiologia Clínica do Ciclo Estral de Vacas Leiteiras: Desenvolvimento Folicular, Corpo Lúteo e Etapas do Estro. 2020. DA SILVA, Emanuel Isaque Cordeiro. Fisiologia da Reprodução Animal: Ovulação, Controle e Sincronização do Cio. 2020. DA SILVA, et al. Manual de Exame Ginecológico da Vaca. IX Mostra Nacional de Iniciação Científica e Tecnológica Interdisciplinar (MICTI) - IFC - Instituto Federal Catarinense. 2016. Arquivo digital disponível em: Acesso em: 15 de Novembro de 2021. DIAS. J C. et al. Alguns aspectos da interação nutrição-reprodução em bovinos: energia, proteínas, minerais e vitaminas. Revista Pubvet. v. 4 n. 5 p. Art. 738-743. 2010. FERNANDES, A. F. A. OLIVEIRA, J. A. QUEIROZ, S. A. Escore de condição corporal em ruminantes. Revista Ars Veterinária. v. 32, n. 1, p. 55-66, 2016. FERREIRA, A. M. Reprodução da Fêmea Bovina. Fisiologia aplicada e problemas mais comuns (causas e tratamentos). Juiz de Fora, MG: Edição do autor, 2010. FRANCO, F. F. Escore de condição corporal e desempenho reprodutivo de vacas leiteiras mestiças lactantes, Minas Gerais, Brasil. 2015. 59f. Dissertação (Mestrado em Ciências Veterinárias) - Universidade Federal de Uberlândia, Uberlândia. GARCIA, J. R. A. SILVA, N. SILVEIRA, W. TEIXEIRA, M. C. C. Estudo epidemiológico de problemas reprodutivos em rebanhos bovinos na bacia leiteira de Goiânia. Revista Eletrônica - Arquivo Brasileiro de Medicina Veterinária e Zootecnia. v 57. n 6. p 720-725. 2005. IVANOU, A. V. Clínica e reprodução de bovinos leiteiros. Évora, Portugal. 100f. 2015. Dissertação (Mestrado em Medicina Veterinária) - Universidade de Évora - Escola de Ciências e Tecnologia, Évora. MANTECA, X. et al. Bem-estar animal: conceitos e formas práticas de avaliação dos sistemas deprodução de suínos. Revista - Semina: Ciências Agrárias. v. 34 n. 2. p 4213-4229. 2013. MOURA, M. S. et al. Manejo reprodutivo de bovinos na propriedade rural. Revista PUBVET. v. 5. n 9.ed. 156. art. 1055, 2011. MUNIS DE OLIVEIRA, G. Fisiologia da Reprodução Bovina e Métodos de Controle do Ciclo Estral. Trabalho de conclusão do curso de especialização em Reprodução e Produção de Bovinos–UCB. Rio de Janeiro, Brasil, 2006. NETO, Alberto Chambela. Avaliação da taxa de prenhez de vacas de leite com a utilização de protocolos com e sem a presença de folículos estimulantes. Revista Ifes Ciência-ISSN 2359- 4799, v. 5, n. 1, 2019. NOGUEIRA, E. et al. Nutrição aplicada à reprodução de bovinos de corte. Embrapa PantanalCapítuloem livro científico. Embrapa Pantanal - Capítulo em livro científico (ALICE). ed. 10. p 141-156. 2015. PEGORARO, L. M. C.; SAALFELD, M. H.; WEISSHEIMER, C. F.; VIEIRA, A. D. Manejo Reprodutivo em Bovinos de Leite. Embrapa Clima Temperado, id.13081, 2009. PEIXOTO JUNIOR, K.C. FIRMIANO, A. C. CRESPILHO, A.M. Relação entre reprodução e produção debovinos de leite. Revista PUBVET, Londrina. v 7. n 24. ed 247. art. 1635. 2013. PEREIRA, M.A et al. Parâmetros da Fisiologia reprodutiva e utilização de hormônios na sincronizaçãode estro em vacas leiteiras. Revista VeZ em Minas. a XXII. p 117. 2013. PRATA, M. A.; PEREIRA, M. C.; FARO, L; CARDOSO, V. L. et al. Efeito do intervalo de partos sobre a eficiência produtiva e econômica em rebanhos gir leiteiro. B. Indústr. Anim., Nova Odessa, v.71, n.1, p.1-7, 2014. Rebanho bovino tem leve alta em 2019, após dois anosseguidos de quedas. Agência de notícias IBGE, 2020. Disponível em: . Acesso em: 26, setembro de 2021. RENNO F.P; BARLETTA, R.V.; FRIETAS JUNIOR J.E.; et al. Escore de condição corporal e sua relação com produtividade, saúde e bem estar de vacas em lactação. Em: 1st international Symposium of Dairy Cattle. III Simpósio Nacional de Bovincultrura Leiteira. Universidade Federal de Viçosa, MG. Novembro 2011. RUAS, J. R. M; MENESES, A. C.; CARVALHO, B. C.; QUEIROZ, D. S.; SILVA, E. A. da; FERREIRA, J. J. Sistema de produção de leite com vacas F1 Holandês x Zebu. Informe Agropecuário, v.31, p.63-71, 2010. SANTOS, M de. A. R. Efficiency of two doses of D-cloprostenol for synchronization of estrus in bovines in the different phases of the estrous cycle. Minas Gerais, Brasil. 46 f. 2001. Dissertação (Mestrado em Zootecnia e Recursos Pesqueiros) - Universidade Jose do Rosario Vellano, Alfenas.. SARTORI, R. GUARDIEIRO, M. M. Fatores nutricionais associados à reprodução de fêmea bovina. Revista Brasileira de Zootecnia. v 39. p 422-432. 2010. SCHAFHAUSER JUNIOR, J. PEGORARO, L. M. C. ZANELA, M. B. Tecnologias para sistemas de produção de leite. Embrapa Clima Temperado - Livro técnico. ed 1. p 437. 2016. SOUSA, G. G. T. et al. Monta natural versus inseminação artificial em bovinos. Revista PUBVET. v 6. n35. ed 222. art. 1473. 2012. TRIANA, E. L. C. JIMENEZ, C. R. TORRES, C A. A. Eficiência reprodutiva em bovinos de leite. Revista Eletrônica da Universidade Federal de Viçosa - UFV. v 1. 2012. Artigo eletrônico disponível em: Acesso em: 02 de outubro de 2021. (shrink)

On a simple and neat view, sometimes called the Relational Analysis of Attitude Ascriptions, a belief ascription on the form ‘S believes that x is F’ is correct if, and only if, S stands in the belief-relation to the proposition designated by ‘that x is F’, i.e., the proposition that x is F. It follows from this view that, for a person to believe, say, that x is a boat, there is one unique proposition that she has to believe. This (...) paper argues against this view. It fails, I contend, to make sense of peripheral concept variation. As we attribute and individuate concepts, two people’s concepts C1 and C2 count as e.g., concepts of boats even if their concepts have different extensions in peripheral, or borderline, cases of boats. Thus, A and B can believe that x is a boat through believing peripherally different propositions. It follows that there is no unique proposition that a person has to believe in order to believe e.g., that x is a boat. (shrink)

Dretske has provided very influential arguments that there is a difference between our sensory awareness of objects and our awareness of facts about these objects—that there is a difference, for example, between seeing x and seeing that x is F. This distinction between simple and epistemic seeing is a staple of the philosophy of perception. Memory is often usefully compared to perception, and in this spirit I argue for the conditional claim that if Dretske’s arguments succeed in motivating the posit (...) of simple seeing, then parallel arguments should equally motivate a posit I call simple remembering. Simple remembering would be a conscious form of memory about an object or event which is prior to and independent of any beliefs the subject may or may not form about the object or event simply remembered. (shrink)

En el ámbito de la lógica matemática existe un problema sobre la relación lógica entre dos versiones débiles del Axioma de elección (AE) que no se ha podido resolver desde el año 2000 (aproximadamente). Tales versiones están relacionadas con ultrafiltros no principales y con Propiedades Ramsey (Bernstein, Polarizada, Subretículo, Ramsey, Ordinales flotantes, etc). La primera versión débil del AE es la siguiente (A): “Existen ultrafiltros no principales sobre el conjunto de los números naturales (ℕ)”. Y la segunda versión débil del (...) AE es la siguiente (B): “Existen ultraflitros sobre ℕ”. Se sabe que A implica B, pero se desconoce si B implica A. Di Prisco y Henle conjeturan en los artículos ([1], [2]) que esto no ocurre, es decir, conjeturan que B no implica A, en otras palabras, conjeturan que A es más fuerte estrictamente que B, que A es independiente de B, pero esto no se ha podido demostrar todavía aunque se ha intentado hacer desde hace aproximadamente 21 años. Una descripción detallada de este problema abierto puede encontrarse en esta ponencia (dictada en el marco del Día Mundial de la Lógica 14-01-2022) y en el artículo [3]. [1] C. Di Prisco y H. Henle. “Doughnuts, Floating Ordinals, Square Brackets, and Ultraflitters”. Journal of Symbolic Logic 65 (2000) 462-473. [2] C. Di Prisco y H. Henle. “Partitions of the reals and choice”. En “Models, algebras and proofs”. X. Caicedo y C.M. Montenegro. Eds. Lecture Notes in Pure and Appl. Math, 203, Marcel Dekker, 1999. [3] F. Galindo. “Tópicos de ultrafiltros”. Divulgaciones Matemáticas. Vol. 21, No 1-2, 2020. (shrink)

Whilе thе rоbust аnd pоsitivе аssоciаtiоn bеtwееn еducаtiоn аnd pоliticаl еngаgеmеnt hаs bееn widеly dоcumеntеd, thе dirеct cаusаl link is still а subjеct оf dеbаtе. This study cоntributеs tо thе оngоing dеbаtе by еxаmining whеthеr thеrе еxists а cаusаl еffеct оf еducаtiоn оn pоliticаl еngаgеmеnt. Explоiting thе plаusibly еxоgеnоus vаriаtiоn in еducаtiоn inducеd by thе cоmpulsоry schооling rеfоrms аcrоss 39 cоuntriеs, wе find thаt еducаtiоn cultivаtеs pоliticаl intеrеst, prоmоtеs thе аcquisitiоn оf pоliticаl knоwlеdgе, аnd fоstеrs suppоrtivе аttitudеs tоwаrds pоliticаl frееdоms. (...) Nеvеrthеlеss, thе bеttеr еducаtеd аrе nо mоrе likеly tо vоtе in еlеctiоns nоr аdоpt аny spеcific pоsitiоn in thе lеft-right pоliticаl spеctrum. (shrink)

The conditional interpretation of general categorical statements like ‘All men are animals’ as universally quantified material conditionals ‘For all x, if x is F, then x is G’ suggests that the logical structure of law statements is conditional rather than categorical. Disregarding the problem that the universally quantified material conditional is trivially true whenever there are no xs that are F, there are some reasons to be sceptical of Frege’s equivalence between categorical and conditional expressions. -/- Now many philosophers will (...) claim that the material conditional interpretation of laws statements, dispositions ascriptions, or any causal claim is generally accepted as wrong and outdated. Still, there seem to be some basic logical assumptions that are shared by most of the participants in the debate on causal matters which at least stems from the traditional truth functional interpretation of conditionals. This is indicated by the vocabulary in the philosophical debate on causation, where one often speaks of ‘counterfactuals’, ‘possible worlds’ and ‘necessity’ without being explicit on whether or to what extent one accepts the logical-technical definition of these notions. To guarantee a non-Humean and non-extensional approach to causal relations, it is therefore important to be aware of the logical and metaphysical implications of the technical vocabulary. -/- In this paper we want to show why extensional logic cannot deal with causal relations. Via a logical analysis of law-like statements ‘All Fs are Gs’ we hope to throw some new light on interrelated notions like causation, laws, induction, hypotheticality and modality. If successful, our analysis should be of relevance for a deeper understanding of any type of causal relations, whether we understand them to be laws, dispositions, singulars or categoricals. (shrink)

This paper aims to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato (...) says that something both is and is not, he is applying difference on being which is interpreted here as saying, borrowing Aristotle’s terminology, 'is is (esti) in different senses'. I hope this paper can show how Pollachos Esti can bring forth not only a new approach to Plato’s ontology in Sophist and Republic but also a different approach to being in general. -/- Keywords Plato; being; difference; image; pollachos esti; pollachos legetai 1. Being, Not-Being and Difference The three dialogues where the notion of "difference" attaches to the notion of being, namely Parmenides II, Sophist and Timaeus,and specifically the first two we try to discuss here. In these dialogues, Plato is going to achieve a new and revolutionary understanding of being which is not anymore based on the notion of "same" as it was before in Greek ontology. It was his discovery, I think, that the notion of being in the Greek ontology is attached to the notion of the "same" and it is because of this attachment that there have always been many problems understanding being especially after Parmenides. That being has always been relying on the "same" can be found out from the way most of the Presocratics understood it. It was based on such a relationship between being and "same" that a later Ionian, Heraclitus of Ephesus, rejected Being by rejecting its sameness: unable to be the same, being cannot be being anymore but becoming. Heraclitus’ criticism of his predecessors’ understanding of being was due to his discovery that what they call being is not the same but different in every moment. The relation of being and sameness reaches to its highest point in Parmenides. What Plato does in using the "difference" is nothing but the establishment of a creative relation between being and "difference". In this new relation, although he is in agreement with Heraclitus that being is not the same but different, he does not do it by use of becoming. He disagrees, on the other hand, with Parmenides that such a relation between being and difference leads to not being. At Parmenides 142b5-6 it is said that if One is, it is not possible for it to be without partaking (μετέχειν) of being (οὐσίας), which leads to the distinction of being and one: -/- So there would be also the being of the one (ἡ οὐσία του̑ ἑνὸς) which is not the same (ταὐτὸν) as the one. Otherwise, it wouldn’t be its being, nor the one would partake of it. (142b7-c1) -/- The fact that what is (ἔστι) signifies (σημαῖνον) is other (ἀλλο) than what One signifies (c4-5), is being taken as a reason for their distinction. The conclusion is that when we say 'one is', we speak of two different things, one partaking of the other (c5-7). Having repeated these arguments of the otherness of being and one at 143a-b, Parmenides says that the cause of this otherness can be neither Being nor One but "difference": -/- So if being is something different (ἕτερον) and one something different (ἕτερον), it is not by being one that the one is different from being nor by its being being that being is other than one, but they are different from each other (ἕτερα ἀλλήλων) by difference (τῷ ἑτερῳ) and otherness (ἄλλῳ). (143b3-6) -/- The fifth hypothesis, 'one is not' (160b5ff.) is also linked with the notion of difference. When we say about two things, largeness and smallness, that they are not, it is clear that we are talking about not being of different (ἕτερον) things (160c2-4). When it is said that something is not, besides the fact that there must be knowledge of that thing, we can say that it entails also its difference: 'difference in kind pertains to it in addition to knowledge' (160d8). Parmenides explains the reason as such: -/- For someone doesn’t speak of the difference in kind of the others when he says that the one is different from the others, but of that thing’s own difference in kind. (160e1-2) -/- Although the theory of being as "difference" is not fulfilled yet, an exact look at what occurs in Sophist can make us sure that this was the launching step for "difference" to get its deserved role in Plato’s ontology. The notion of the "difference" is not yet well-functioned in Parmenides because we can see that being is still attached to the same: -/- For that which is the same is being (ὄν γὰρ ἐστι τὸ ταὐτόν) (162d2-3). -/- The notion of difference in Sophist is the key element based on which a new understanding of being is presented and the problem of not being is somehow resolved. The friends of Forms, the Stranger says, are those who distinguish between being and becoming (248a7-8) and believe that we deal with the latter with our body and through perception while with the former, the real being (ὄντως οὐσίαν) with our soul and through reasoning (a10-11). Being is then bound with the "same" by adding: -/- You say that being always stays the same and in the same state (ἣν ἀεὶ κατὰ ταὐτὰ ὡσαύτως ἔχειν) but becoming varies from one time to another (δὲ ἄλλοτε ἄλλως). (248a12-13) -/- That the theory of the relation of being and capacity (247d8f., 248c4-5) matches more with becoming than with being (248c7-9) must be rejected because being is also the subject of knowledge which is kind of doing something (248d-e). It does, however, confirm that 'both that which changes and also change have to be admitted as existing things (ὄντα) (249b2-3). I believe that this is what Socrates would incline to do at Theaetetus 180e-181a, that is, putting a fight between two parties of Parmenidean being and Heraclitean becoming and then escaping. The solution is that becoming is itself a kind of being and we ought to accept what changes as being. This is what must be done by a philosopher, namely, to refuse both the claim that 'everything is at rest' and that 'being changes in every way' and beg, like a child, for both and say being (τὸὄν) is both the unchanging and that which changes (249c10-d4). This kind of begging for both is obviously under the attack of contradiction (249e-250b). For both and each of rest and change similarly are (250a11-12) but it cannot be said either that both of them change or both of them rest, being must be considered as a third thing both of the rest and change associate with (250b7-10). The conclusion is that 'being is not both change and rest but different (ἕτερον) from them instead' (c3-4). The notion of difference helps Plato to take being departed from both rest and change because it was their sophisticated relation with being that made the opposition of being and becoming. Plato is now trying to separate being from rest and, thus, from "same" by "difference". Such a crucial change is great enough to need a 'fearless' decision (256d5-6). The possibility of being of not being is resulted (d11-12) comes as the answer to the question 'so it’s clear that change is not being and also is being (ἡ κίνησις ὄντως οὐκ ὄν ἐστι καὶ ὄν) since it partakes in being?' (d8-9). It is then by the notion of difference that becoming is considered as that which both is and is not. This coincidence of being and not being about change is apparently similar to Socrates’ paradoxical statement at Republic 477a about what both is and is not. -/- Introduction The Republic 476-477 has always been a matter of controversy mainly about two interwoven points. The first problem is the meaning of being here; that whether what he has in mind is a veridical, existential or propositional sense of being. The second problem is his distinction between the objects of knowledge and opinion which seems to lead, some believe, to the Two Worlds (TW) theory. The crucial point in Republic is that what is considered between knowledge (ἐπιστήμης) and ignorance (α͗γνοιας), namely opinion, must have a different object that leads Socrates to draw the distinction of knowledge and opinion between their objects. The problem of understanding being in the fifth book of the Republic is that when it is said that the Form of F is F but a particular participating in F, both is and is not F, it sounds too bizarre and unacceptable. It cannot be imaginable how a thing can be existent and non-existent at the same time. At the first sight, the only solution seems to be the degrees of existence which is called by Annas (1981, 197) a 'childish fallacy' and a 'silly argument'. Kirwan (1974, 118) thinks that Republic V does not attribute 'any doctrine about existence' to Plato and Kahn (1966, 250) claims that the most fundamental value of einai when used alone (without predicate) is not "to exist" but "to be so", "to be the case" or "to be true". The problems of understanding being in Republic and Sophist besides the difficulties of the existential reading led scholars to the other senses of being, mostly related to the well-known Aristotelian distinctions between different senses of being. In the predicative reading, Annas, for example, refers this difference to the qualified and unqualified application. Whereas the Form of F is unqualifiedly F, a particular instance of F can be F only qualifiedly (1981, 221). Vlastos’ well-known substitution of 'degrees of reality' for 'degrees of being/existence' must be categorized as a predicative reading. Kahn thinks that the basic sense of being for Plato is 'something like propositional structure, involving both predication and truth claims, together with existence for the subject of predication' (2013, 96). Believing that the complete-incomplete distinction terminology is misleading about Plato, he thinks that semantic functions are only second-order uses of the verb and it is the predicative or incomplete function which is fundamental. Suggesting a veridical reading, Fine (2003, 70 ff) thinks that while both existential and predicative readings separate the objects of knowledge and belief, it is only her reading which does not force such separation of the objects and thus does not imply TW. Stokes (1998, 266) thinks that though Fine is right saying that Plato does not endorse TW in book V, she is wrong in rejecting existential in favor of the veridical reading. The reception of existential reading can be seen more obviously in Calvert who thinks, in agreement with Runciman, that 'it would be safer to say that Plato’s gradational ontology is probably not entirely free from degrees of existence' (1970, 46). At Sophist 254d-e Plato singles out five most important kinds (or Forms!?) in which the same (ταὐτὸν) and difference (θάτερον) are regarded besides being, rest and change. They are, therefore, neither the same nor the difference but share in both (b3). Being (τὸ ὄν) cannot be the same also because if they 'do not signify distinct things' both change and rest will have the same label when we say they are (255b11-c1). We have then four distinct kinds, being, change, rest and same, none of them is the other. The case of difference is more complicated. When the stranger wants to assess the relation of being and difference, he can say simply neither that they are distinct nor that they are not. He has to make an important distinction inside being to get able to draw the relation of being and difference: -/- But I think you'll admit that some of the things that are (τῶν ὄντων) are said (λέγεσθαι) by themselves (αὐτὰ καθ’ αὑτά) but some [are said] always referring to (πρὸς) other things (ἄλλα) (255b12-13) -/- The difference is always said referring to other things (τὸδέγ’ ἕτερον ἀεὶ πρὸς ἕτερον) (255d1). It pervades all kinds because each of them should be different from the others and is so due to the difference and not its own nature (253e3f.) After asserting that change is different from being and therefore both is and is not (256d), the difference is described as what makes all the other kinds not be, by making each different from being. Given that all of them are by being, this association of being and difference is the cause of their being and not-being at the same time, the issue that its version at RepublicV made all those controversies we discussed above: -/- So in the case of change and all the kinds, not being necessarily is (Ἔστιν ἄρα ἐξ ἀναγκης τὸ μὴ ὄν). Τhat’s because as applied to all of them, the nature of the difference (ἡ θατέρον φύσις) makes each of them not be by making it different from being. And we’re going to be right if we say that all of them are not in the same way. And conversely [we’re also going to be right if we say] that they are because they partake in being. (Sophist 256d11-e3) -/- Plato’s new construction of five distinct kinds and the role he gives to thedifference among them is aimed to resolve the old problem of understanding being which has always been annoying from the time of Heraclitus and Parmenides. Both the ontological status of becoming and that of not being were, in Plato’s mind, based on the absolute domination of the notion of the Same over being. Now, not only becoming is understandable as being but also not being which is not the contrary of being anymore but only different (ἕτερον) (257b3-4). Though I agree partly with Frede that the account of not being which is needed for false statements is more complicated than just saying, as Cropsey (1995, 101) says, that Plato is substituting 'X is not Y' with 'X is different from Y', I totally disagree with him that when we say X is not beautiful, Plato could not have thought that it is not a matter of its being different from beautiful because 'it would be different from beauty even if it were beautiful by participation in beauty' (1992, 411). Conversely, as we will discuss, it is exactly the relation of the beautiful thing, X, and the beautiful itself, in which X shares that is to be solved by the notion of not being as difference. Though it is beautiful because of sharing in beauty, X is not beautiful because it is different from beautiful itself. What the difference is to do is to show how something can both be and not be the same thing. The difference is what makes one thing both be and not be a certain other thing. This equips the difference with the ability to explain a certain thing’s not-being when it is. Thanks to the notion of difference, it is now possible to explain not only not being but also the simultaneous being and not being of a thing: 'What we call "not-beautiful" is the thing that ἕτερόν ἐστιν from nothing other than του̑ καλου̑ φύσεως' (257d10-11). The result is that not beautiful happens to be (συμβέβηκεν εἶναι) one single thing among kinds of beings (τι τῶν ὄντων τινὸς ἑνὸς γένους) and at the same time set over against one of the beings (πρός τι τῶν ὄντων αὖ πάλιν ἀντιτεθὲν) (257e2-4) and thus be something that happens to be not beautiful (εἶναί τις συμβαίνει τὸ μὴ καλόν); a being set over against being (ὄντος δὴ πρὸς ὄν ἀντίθεσις) (e6-7). Neither the beautiful is more a being (μα̑λλον ... ἐστι τῶν ὄντων) nor not beautiful less (e9-10) and thus both the contraries similarly are (ὁμοίως εἶναι) (258a1). This conclusion, it is emphasized again (a7-9), owes to θατέρου φύσις now turned out as being. Therefore, each of the many things that are of the nature of the difference and set over each other in being (τῆς τοῦ ὄντος πρὸς ἄλληλα ἀντικειμένων ἀντίθεσις) is being as being itself is being (αὐτοῦ τοῦὄν τοςοὐσία ἐστιν) and not less. They are different from, and not the contrary of, each other (a11-b3). This is exactly τὸμὴὄν, the subject of the inquiry (b6-7). Hence, not being has its own nature (b10) and is one εἶδοςamong the many things that are (b9-c3). Such far departing from Parmenides’ ontological principle is done on the basis of the nature of the difference. It was the discovery of such a notion that made the stranger brave enough to say that not being is each part of the nature of the difference that is set over against being (258d7-e3, cf. 260b7-8). That the relation of being and difference is difference is the key element of the new ontology. The difference is, only because of its sharing in being, but it is not that which it shares in but different from it (259a6-8). Not being is exactly based on this difference: ἕτερον δὲ τοῦ ὄντος ὄν ἔστι σαφέστατα ἐξ ἀνάγκης εἶναι μὴ ὄν (a8-b1). 2. Difference and the Being of a Copy We discussed above that the sense of being of particulars in Republic V made so many debates that whether being is there used in an existential sense or not. Particulars in Republic are regarded as images in the allegories of Line and Cave. The being of an image/copy makes, thus, the same problem. Plato’s analogy of original -copy for the relation of Forms and their particulars in Republic has obviously a different attitude to being. The main question is that what is the ontological status of a copy in respect of its original? Are there two kinds of being, 'real being' versus 'being' as Ketchum says (1980, 140) or only one kind? What is the difference of being in an original and its copy? Is it a matter of degrees of being or reality as some commentators have suggested? Is it a matter of being relational? By reducing the ontological issue to an epistemological one, Vlastos’ suggestion of degrees of reality in an article with the same name does neither, I think, pay attention to the problem nor resolve it. He agrees that Plato never speaks of "degrees" or "grades" of reality (1998, 219). What allows him to entitle it as such are some of Plato’s words in Republic as well as Plato’s words in some other dialogues (1998, 219). When Plato states that the Forms only can completely, purely or perfectly be real he means, Vlastos says, they are cognitively reliable (1998, 229); an obvious reduction of the issue to an epistemological one. He thinks that when in Republic we are being said that a particular’s being F is less pure than its Form, it is because it is not exclusively F, but it is and is not F and this being adulterated by contrary characters is the reason of our confused and uncertain understanding of it (1998, 222). Ketchum rightly criticizes Vlastos’ doctrine in its disparting from ontology thinking that 'to understand Plato’s talk of being as talk of reality is to obscure the close relation that exists between "being" and the verb "to be"' (1980, 213). He thinks, therefore, that οὐσία must be understοοd as being rather than reality, τὸὄν as "that which is" and not "that which is real" and … (ibid). His conclusion is that degrees of reality cannot interpret Plato correctly and we must accept degrees of being. Allen believes that a 'purely epistemic' reading of the passage in Republic is patently at odds with Plato’s text (1961, 325). He thinks that not only degrees of reality but also degrees of reality must be maintained (1998, 67). What Cooper suggests gets close to this paper’s solution: -/- Plato does not I think wish to suggest that existence is a matter of degree in the way in which being pleasant or painful is a matter of degree. Rather there are different grades of ontological status. (1986, 241) -/- A more ontological solution for the problem of understanding the being of a copy and its relation with the being of its original is suggested by the theory of copy as a relational entity. Based on this interpretation, 'the very being of a reflection is relational, wholly dependent upon what is other than itself: the original…' (Allen, 1998, 62). As relational entities, particulars have no independent ontological status; they are purely relational entities which derive their whole character and existence from Forms (ibid, 67). Although these relational entities are and have a kind of existence, we must also say that 'they do not have existence in the way that Forms, things which are fully real, do' (ibid). Allen (1961, 331) extends his theory to Phaedo where it is said that particulars are deficient (74d5-7, 75a2-3, 75b4-8), 'wish' to be like (74d10) or desire to be of its nature (75a2); an extension that, like F.C. white (1977, 200), I cannot admit. He correctly states that Plato did not start out with a doctrine of particulars as images and semblances but come to such a view after Phaedo, or perhaps after Republic V (1977, 202). Though we may not agree with him about Republic V, if we have to consider its last pages also, we must agree with him that not only the ontology of Phaedo but also that of Republic II-V (except the last pages of the latter book) are somehow different from (but at the same time appealing to) the ontology of original-copy which should exclusively assign to Sophist, Timaeus and RepublicVI-VII besides the last pages of book V. The answer to the problem of Plato’s sense of being in RepublicV can be reached only if we read Republic V based on and as following Sophist. We can find out his meaning of that which both is and is not only by the ontological status he assigns to a copy in Sophist. The kind of being of a copy in Sophist reveals as Plato’s key for the lock of the problem of not being. Let’s see how the ontological status of a copy is the critical point of Plato’s ontology. In the earlier pages of Sophist, we are still in the same situation about not being. To think that that which is not is is called a rash assumption (237a3-4) and Parmenides’ principle of the impossibility of being of not being is still at work (a8-9). At 237c1-4, the problem of "not being" is noticed in a new way which shows some kinds of a more realistic position to the problem of not being. Nevertheless, not being is still unthinkable, unsayable, unutterable and unformulable in speech (238c10). Soon after mentioning that it is difficult even to refuse not being (238d), the solution to the problem appears: the being of a copy (εἴδωλον) (239d). A copy is, says Theaetetus, something that is made referring to a true thing (πρὸς τἀληθινὸν) but still is 'another such thing (ἕτεροντοιου̑τον)' (240a8). Nevertheless, this 'another such thing' cannot be another such real or true thing. In answer to the question of the Stranger that if this 'another such thing' is the true thing (240a9), Theaetetus answers: οὐδαμῶς ἀληθινόν γε, ἀλλ’ ἐοικὸςμὲν (240b2). A copy’s being 'another such thing' does not mean another true thing but only a resemblance of it. Not only is not a copy another true thing besides the original, but it is the opposite of the true thing (b5) because only its original is the thing genuinely and being a copy is being the thing only untruly. The word ἐοικὸς is opposed to ὄντως ὄν in the next line (240b7): 'So you are saying that that which is like (ἐοικὸς) is not really that which is (οὐκ ὄντως [οὐκ] ὄν)'. But still a copy 'is in a way (ἔστι γε μήν πως)' (b9). While it is not really what it is its resemblance, it has its own being and reality because it really is a likeness (εἰκων ὄντως) (b11). The Stranger asks: -/- So it is not really what is (οὐκ ὄν ἄρα [οὐκ] ὄντως ἐστὶν) but it really is what we call a likeness (ὄντως ἣν λέγομεν εἰκόνα)? (b12-13) -/- This is Plato’s innovative ontological solution to the problem of not being. Theaetetus’ answer confirms this: 'Maybe that which is not is woven together with that which is' (c1-2). Therefore, a copy neither is what really is nor is not-being but only is what in a way is. Thanks to the ontological status of a copy, the third status intermediate between being and not being is brought forth. The essence of an image, in Kohnke’s words, does not consist 'solely in the negation of what is genuine and has real being' because otherwise 'it would be an ὄντως οὐκ ὄν,essentially and really a not being' (1957, 37). The characteristics of a copy can be summed up as folows: i) A copy is a copy by referring to a true thing (πρὸς τἀληθινὸν). ii) A copy is different from that of which it is a copy (ἕτερον). iii) A copy is not itself a true thing (ἀληθινόν) as that of which it is a copy but only that which is like it (ἐοικὸς). iv) It is not really that which really is (ὄντως ὄν) but only really a likeness (εἰκων ὄντως). The conclusion is that: v) A copy in a way (πως) is that means it both is and in not, the product of interweaving being with not being. This leads to the refutation of father Parmenides’ principle, accepting that 'that which is not somehow is (τό τε μὴ ὄν ὡς ἔστι)' and 'that which is, somehow is not (τό ὄν ὡς οὐκ ἔστι) (241d5-7). Besides copies and likenesses (εἰκόνων), we have also imitations (μιμημάτων) and appearances (φαντασμάτων) as the subjects of this new kind of being and thus false belief (241e3). In Timaeus, the world of becoming which cannot correctly be called and thus we have to call it "what is such" (τὸ τοιου̑τον) (49e5) or "what is altogether such" (τὸ διἀ παντὸς τοιου̑τον) (e6-7), consists solely of imitations (μιμημάτα) (50c5) which are identifiable only by the things that they are their imitations. The word τοιου̑τον which had been used to determine the situation of a copy in respect of its original, now becomes the definition of the world of becoming in which everything is an image of another thing, a Being, that stays always the same and is different and separated from its image. Cherniss, in my view rightly, draws attention to the very important point about the ontological status of an image that can at the same time be considered a criticism of the relational theory. What we are being said in Timaeus, he thinks,cannot be explained by saying that an image is not self-related and making its being relational. What is crucial about an image is that it 'stands for something, refers to something, means something and this meaning the image has not independently as its own but only in reference to something else apart from it' (1998, 296). This function finds its best explanation in the theory we are to suggest in the following. 3. πολλαχῶς ἔστι The best way to understand the ontological status of an image in Plato is to see first how his most clever pupil, Aristotle, resolved the same problem that Plato brought his theory of image for its sake. Aristotle’s theory of pollachos legetai is a brilliant and, at the same time, deviated version of Plato’s theory that is able, however, to help us read Plato in a better way. We discuss Aristotle’s theory to reach to a full understanding of Plato’s theory because it is, firstly, constructed in Aristotle in a more clear way and, secondly, it can also be taken as an evidence that our reading of Plato is legitimate. The phrase τὸ ὄν πολλαχῶς λέγεται, a so much repeated phrase in Aristotle’s works, is his resolution for some of the ontological problems of his predecessors all treating being as if it has only one sense. Aristotle is right in his criticism of the philosophical tradition specially Heraclitus, Parmenides and Plato since all did presuppose only one sense for being and his theory is, thus, a creative and revolutionary solution for many problems that all the past philosophers were stuck in. But it is at the same time somehow a borrowed theory. As we will discuss, both the structure of the doctrine and the problems it tries to resolve are the same as Plato’s doctrine (and even is comparable in its phraseology) though it is in Aristotle, as can be expected, a more clear and better structured doctrine. 1) Associated with the theory of pros hen and the theory of substance, the theory of several senses of being provides a structure which, I insist, is the best guide to understand Plato’s theory of Being in Sophist, Timeaus and Republic. a) Although the theory of pollachos legetai is not necessarily based on the theory of pros hen, they become tightly interdependent about being: -/- Being is said in many ways/senses (τὸ δὲ ὄν λέγεται μὲν πολλαχῶς) but by reference to one (πρὸς ἕν) [way/sense] and one kind of nature (μίαν τινὰ φύσιν). (Metaphysics 1003a33-34) -/- The doctrine of pros hen which is Aristotle’s initiative third alternative besides the homonymous and synonymous application of words, is primarily a linguistic theory that tries to provide a new theory to explain the different implementations of the same word. The pros hen implementation of being is to provide an alternative for the theory of the synonymous (in Plato: homonymous) implementation of being which says being is said in one sense (kath hen) (1060b 32-33). That both the pros hen and the kath hen implementation of a word has one thing (hen) as what is common, makes them in opposition to the homonymous implementation which does not consider anything in common. Whereas both pros hen and kath hen assume a common nature, with which all the implementations of the word have some kind of relation, their difference is that while kath hen takes all the implementations of the word as the same with the common nature, pros hen makes them different. Substance is called πρῶτον ὄν because it is said to be primarily: -/- For as is (τὸ ἔστιν) is predicated of all things, not however in the same way (οὐχ ὁμοίως) but of one sort of thing primarily and of others in a secondary way. So too τὸτί ἐστιν belongs simply (ἁπλῶς) to substance but in a limited sense (πῶς) to the others [other categories] (1030a21-23). -/- The word ἁπλῶς standing against κατὰ συμβεβηκός tries to make substance different from the accidents. When we are being said that τὸ ὄν πολλαχῶς λέγεται, it means that only the substance that is simply (ἁπλῶς) the ἕν, the common nature, τὸὄν. When we use the word 'being' about a substance, the being is said differently from when we use 'being' about an accident. The distinction between the substance and the other categories is a distinction between what simply is said to be and what only with reference to (pros) the substance is said to be. The doctrine of pros hen, changing kath hen to pros hen in respect of to on, makes a distinction that wants to show that while there is a kind of implementing the word being that is simply being, there is another kind which is called being only by reference to that which is simply being. In the doctrine of pros hen it is not so that all the things that are said to be are only by reference to a common one thing, but that while one thing is called being because it is that thing itself, the other things are called so without being that thing itself but only by referring to it. At the very beginning of book Γ, it is said that: -/- Being is said in many senses but all refer to one arche. Some things are said to be because they are substances, others because they are affections of substances, others because they are a process towards substances or destructions or privations or qualities of substances … (1003b5-9, cf. 1028a18-20) -/- Substance is what really is said to be and all other things that are said to be are said only in favor of it. This difference of substance from all other senses of being is what is, I believe, primarily aimed in Aristotle’s interrelated theories of pollachos legetai,pros hen and the theory of substance. b) The difference of the implementation of being in the case of substance and the accidents goes so deep that while substance is considered as the real being, the accidents are almost not being. An accident is a mere name (Metaphysics 1026b13-14) and is obviously akin to not being (b21). Aristotle adds that Plato was 'in a sense not wrong' saying that sophists deal with not being (τὸ μὴ ὄν) because the arguments of sophists are, above all, about the accidental (1026b13-16). At the beginning of book , he says about quality and quantity (which look to be more of a being than other accidents) that they are not existent (οὐδ̕ ὄντα ὡς εἰπεῖν) in an unqualified sense (ἁπλῶς) (1069a21-22). The two above-mentioned points, Aristotle’s (a) interwoven theories of pollachos legetai, pros hen and the theory of substance and (b) taking accidents almost as not being, comparedwith substance, brings forth a structure that I shall call Pollachos Legetai (with capital first letters). What is of the highest importance in this structure for me is the difference of substance from accidents and the kind of relation which is settled between them. There is a substance that without any qualification is said to be and the accidents that are said to be only by reference (pros) to it. Adding Aristotle’s point about accidents that they are nearly not being to this relation and difference, we can obviously see how much this structure is close to Plato’s original-copy ontology. We spoke of the relation of being and difference in Plato’s model and the way Plato construes the being of a copy. A copy is a copy only by referring to (pros) a model; it is different from (ἕτερον) that of which it is a copy; it is not itself a true thing as its model and not really that which is (ὄντως ὄν) but only is in a way (πῶς). If we behold the difference of substance and accident in the context of the theory of pollachos legetai and pros hen, we can observe its fundamental similarity with Plato’s original-copy theory in its structure. Allen draws attention to the fact that the relation between Forms and particulars in Plato’s original-copy model is 'something intermediate between univocity and full equivocity' (1998, 70, n. 24) and the same as what Aristotle calls it pros hen (ibid). What made us compare the two structures was not, of course, the complete similarity of two structures (we have to agree with many possible differences of the two theories) but exactly the specific relation between an original and its copy on the one hand, and a substance and its accident on the other hand. As substance and accident do not share a common character and the substance -accident model hints that they stand in a certain relation, there is no common character between the original and copy in Plato’s model as well. Furthermore, their similarity is not confined to their structure only; they are also aimed to solve the same problem. The central point of the theory is that all the predecessors took being in one sense and this was their weakness point. Besides the mentioned above passages about the relation of pollachos legetai and presocratics’, as well as Plato’s, ontology, the relation of the theory with the problem of not being is clear in several passages. In Metaphysics, it is said: 'Being is then said in many senses… It is for this reason that we say even of not being that it is not being' (1003b5-10). Discussing the accidental sense of being, Aristotle points that it is in the accidental way that we say, for example, that not-white is because that of which it is an accident is (1017a18-19, cf. 1069a22-24). We mentioned that he thought Plato was right saying that sophistic deals with not being because sophistic deals with accidental, which is somehow not being (1026b14-16). Plato turned sophistic not-being to what both is and is not and Aristotle to what accidentally is said to be. What helps Aristotle to resolve the problem of not being is his distinction between ἁπλῶς and κατὰ σθμβεβηκός. Aristotle’s "qua" (ᾕ) which is directly linked with his distinction between καθ’ αὑτο λέγεται and κατὰ συμβεβηκός λέγεται, is used to resolve the old problem of coming to be out of not being (Physics 191b4-10). He strictly asserts that his predecessors could not solve the problem because they failed to observe the distinction of "qua itself" from "qua another thing" (b10-13). He then continues: -/- We ourselves are in agreement with them in holding that nothing can be said simply (ἁπλως) to come from not being (μὴὄντος). But nevertheless we maintain that a thing may come to be from not being in an accidental way (κατὰ συμβεβηκός). For from privation which ὅ ἐστι καθ’ αὑτο μὴ ὄν, nothing can become. (Phy. 191b13-16, cf. b19-25) . (shrink)